Maybe you should think about is as "Bring (a little) noodles (up)" where 来 is not "come (a little noodles)" but "let noodles be here"...

It just means "please give me". It's how Chinese people order food in a restaurant.

In this situation,“来” similar to "I'd like to".

省略句，省略前面”请你给我来一份面条。”

或者归为祈使句,